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11314003400 = 2352740919759
BaseRepresentation
bin10101000100101110…
…11111110111001000
31002012111021220220222
422202113133313020
5141132341102100
65110402205212
7550241304440
oct124227376710
932174256828
1011314003400
114886507237
122239053808
1310b3cb928b
1479488b120
15463417485
hex2a25dfdc8

11314003400 has 96 divisors (see below), whose sum is σ = 30137952000. Its totient is φ = 3869406720.

The previous prime is 11314003399. The next prime is 11314003409. The reversal of 11314003400 is 430041311.

It is not an unprimeable number, because it can be changed into a prime (11314003409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562721 + ... + 582479.

It is an arithmetic number, because the mean of its divisors is an integer number (313937000).

Almost surely, 211314003400 is an apocalyptic number.

11314003400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068976000).

11314003400 is an abundant number, since it is smaller than the sum of its proper divisors (18823948600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11314003400 is a wasteful number, since it uses less digits than its factorization.

11314003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20191 (or 20182 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11314003400 its reverse (430041311), we get a palindrome (11744044711).

The spelling of 11314003400 in words is "eleven billion, three hundred fourteen million, three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 409 700 818 1400 1636 2045 2863 3272 4090 5726 8180 10225 11452 14315 16360 19759 20450 22904 28630 39518 40900 57260 71575 79036 81800 98795 114520 138313 143150 158072 197590 276626 286300 395180 493975 553252 572600 691565 790360 987950 1106504 1383130 1975900 2766260 3457825 3951800 5532520 6915650 8081431 13831300 16162862 27662600 32325724 40407155 56570017 64651448 80814310 113140034 161628620 202035775 226280068 282850085 323257240 404071550 452560136 565700170 808143100 1131400340 1414250425 1616286200 2262800680 2828500850 5657001700 11314003400